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Finding the Fourth Proportional to 339.64, 508.80 and 223.74

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Solution

The fourth proportional to 339.64, 508.80 and 223.74 is: 335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.64 : 508.80 = 223.74 : x
  2. Step 2: Convert to fraction form
    339.64/508.80 = 223.74/x
  3. Step 3: Cross multiply
    339.64x = 508.80 × 223.74
  4. Step 4: Simplify right side
    339.64x = 113,838.91
  5. Step 5: Solve for x
    x = 113,838.91/339.64
  6. Step 6: Final answer
    x = 335.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.